72084205 has 16 divisors (see below), whose sum is σ = 87822000. Its totient is φ = 56793600.

The previous prime is 72084197. The next prime is 72084209. The reversal of 72084205 is 50248027.

It can be written as a sum of positive squares in 8 ways, for example, as 22155849 + 49928356 = 4707^2 + 7066^2 .

It is not a de Polignac number, because 72084205 - 2³ = 72084197 is a prime.

It is a super-2 number, since 2×72084205² = 10392265220964050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176041 + ... + 176449.

It is an arithmetic number, because the mean of its divisors is an integer number (5488875).

Almost surely, 2^72084205 is an apocalyptic number.

It is an amenable number.

72084205 is a deficient number, since it is larger than the sum of its proper divisors (15737795).

72084205 is a wasteful number, since it uses less digits than its factorization.

72084205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72084205 is about 8490.2417515640. The cubic root of 72084205 is about 416.1788805559.

The spelling of 72084205 in words is "seventy-two million, eighty-four thousand, two hundred five".